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<title> SUMMARY </title>Galileo's theory of falling bodies assumes that the speed increases as the time. The geometrical representation of such a proportional increment is a sequence of similar triangles. The areas of these triangles are connected with the values of distances traversed. Now, Galileo did he seize and accept that an area could ever represent a distance traversed? The author of this paper tries to show why it is reasonable to conclude, that he did, even if with some comprehensible intellectual trouble related to infinitesimal considerations. In this respect it is important to consider Mersenne's interpretation of galilean Dialogo and Discorsi.

Affiliations: 1: Pistoia


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